While Wells Fargo is not formally searching for a new CEO, the Post said, some board members are looking around. Wells Fargo denied that it is looking to replace Sloan.

Cohn's post-White House future remains up in the air. The former Goldman Sachs COO did not elaborate on possible future employment during Monday's event but said there were "interesting opportunities" in the works.

The former economic adviser was back in headlines over the past few weeks after veteran journalist Bob Woodward's book on the Trump White House delved deeply into Cohn's relationship with Trump.